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Control SystemsNyquist Stability

If an open-loop transfer function has no right-half-plane poles, closed-loop stability under the standard Nyquist criterion requires the Nyquist plot to have?

  • ANo encirclement of -1+j0
  • BOne clockwise encirclement of -1+j0
  • COne counterclockwise encirclement always
  • DAn encirclement of the origin
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Correct Answer: A. No encirclement of -1+j0
Explanation: When P=0, closed-loop stability requires Z=0; under the standard convention this means no net encirclement of the -1 point.
Reference: Standard control systems: nyquist stability
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